Frequency-dependent stability for two-species interactions

R Cressman - Theoretical Population Biology, 1996 - Elsevier
Evolutionary game theory is extended to models of two-species interactions where fitnesses
are based on individual characteristics (strategies) rather than on a population dynamic that …

Coevolution as an evolutionary game

JS Brown, TL Vincent - Evolution, 1987 - Wiley Online Library
Coevolution is modeled as a continuous game where the fitness‐maximizing strategy of an
individual is assumed to be a function of the strategy of other individuals who are also under …

Stochastic stability in three-player games

D Kamiński, J Miekisz, M Zaborowski - Bulletin of mathematical biology, 2005 - Springer
Animal behavior and evolution can often be described by game-theoretic models. Although
in many situations the number of players is very large, their strategic interactions are usually …

Evolutionary stability: states and strategies

B Thomas - Theoretical Population Biology, 1984 - Elsevier
Different aspects and modifications of the definition of an evolutionarily stable (ES) strategy
that have been considered in the literature can be incorporated in a unifying concept which …

Ecological stability, evolutionary stability and the ESS maximum principle

TL Vincent, MV Van, BS Goh - Evolutionary Ecology, 1996 - Springer
Since the fitness of each individual organism in a biological community may be affected by
the strategies of all other individuals in the community, the essential element of a …

Stability in N-species coevolutionary systems

R Cressman, J Garay - Theoretical population biology, 2003 - Elsevier
Stability criteria have recently been developed for coevolutionary Lotka–Volterra systems
where individual fitness functions are assumed to be linear in the population state. We …

Evolutionary stability in strategic models of single-locus frequency-dependent viability selection

R Cressman, J Hofbauer, WGS Hines - Journal of Mathematical Biology, 1996 - Springer
The dynamic stability of an evolutionarily stable strategy (ESS) is analyzed for a diploid
species under individual viability selection. An individual's viability depends on the …

Evolutionary dynamics and stability in discrete and continuous games

T Day, PD Taylor - Evolutionary Ecology Research, 2003 - evolutionary-ecology.com
We investigate the correspondence between discrete-trait games (for example, matrix
games) and continuous-trait games, paying particular attention to the standard criteria for …

On the instability of evolutionary stable strategies in small populations

GB Fogel, PC Andrews, DB Fogel - Ecological Modelling, 1998 - Elsevier
Evolutionary stable strategies (ESSs) are often used to explain the behaviors of individuals
and species. The analysis of ESSs determines which, if any, combinations of behaviors …

Multi-species evolutionary dynamics

J Apaloo, PW Muir, JW Hearne - Evolutionary Ecology, 2005 - Springer
Dynamical attainability of an evolutionarily stable strategy (ESS) through the process of
mutations and natural selection has mostly been addressed through the use of the …